On the distribution of the values of an additive arithmetical function with values in a locally compact abelian group
Jean-Loup Mauclaire
Acta Arithmetica, Tome 68 (1994), p. 201-212 / Harvested from The Polish Digital Mathematics Library
Publié le : 1994-01-01
EUDML-ID : urn:eudml:doc:206655
@article{bwmeta1.element.bwnjournal-article-aav68i3p201bwm,
     author = {Jean-Loup Mauclaire},
     title = {On the distribution of the values of an additive arithmetical function with values in a locally compact abelian group},
     journal = {Acta Arithmetica},
     volume = {68},
     year = {1994},
     pages = {201-212},
     zbl = {0830.11029},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-aav68i3p201bwm}
}
Jean-Loup Mauclaire. On the distribution of the values of an additive arithmetical function with values in a locally compact abelian group. Acta Arithmetica, Tome 68 (1994) pp. 201-212. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-aav68i3p201bwm/

[000] [1] N. Bourbaki, Eléments de mathématique. Intégration, chap. I-IV, 2ème éd., Hermann, Paris, 1965.

[001] [2] H. Delange, On the distribution modulo 1 of additive functions, J. Indian Math. Soc. 34 (1970), 215-235. | Zbl 0234.10044

[002] [3] P. D. T. A. Elliott, Probabilistic Number Theory I, Grundlehren Math. Wiss. 239, Springer, New York, 1979.

[003] [4] P. D. T. A. Elliott, Arithmetic Functions and Integer Products, Grundlehren Math. Wiss. 272, Springer, New York, 1985. | Zbl 0559.10032

[004] [5] P. D. T. A. Elliott, On the limiting distribution of additive functions (mod 1), Pacific J. Math. 38 (1971), 49-59. | Zbl 0228.10029

[005] [6] P. D. T. A. Elliott and C. Ryavec, The distribution of values of additive arithmetical functions, Acta Math. 126 (1971), 143-164. | Zbl 0221.10056

[006] [7] P. Hartman, Infinite convolutions on locally compact abelian groups and additive functions, Trans. Amer. Math. Soc. 214 (1975), 215-231. | Zbl 0355.60006

[007] [8] B. V. Levine and N. M. Timofeev, On the distribution of values of additive functions, Acta Arith. 26 (1975), 333-364. | Zbl 0318.10041

[008] [9] E. Manstavicius, The distribution of additive arithmetic functions modulo 1, Litovsk. Mat. Sb. 13 (1973), 101-108. | Zbl 0264.10042

[009] [10] J. L. Mauclaire, Distribution des valeurs d'une fonction arithmétique additive à valeurs dans un groupe abélien localement compact métrisable, C. R. Acad. Sci. Paris Sér. I 313 (1991), 345-348. | Zbl 0738.11052

[010] [11] H. Reiter, Classical Harmonic Analysis and Locally Compact Groups, Clarendon Press, Oxford, 1968. | Zbl 0165.15601

[011] [12] W. Rudin, Fourier Analysis on Groups, 2nd ed., Interscience Publishers, New York, 1967. | Zbl 0698.43001

[012] [13] I. Z. Ruzsa, General multiplicative functions, Acta Arith. 32 (1977), 313-347. | Zbl 0311.10048

[013] [14] I. Z. Ruzsa, Infinite convolution and shift-convergence of measures on topological groups, in: Probability Measures on Groups (Proc. Conf., Oberwolfach 1981), Lecture Notes in Math. 928, Springer, New York, 1982, 337-353. | Zbl 0489.60012

[014] [15] A. Weil, L'intégration dans les groupes topologiques et ses applications, 2ème éd., Hermann, Paris, 1965 | Zbl 0063.08195